One end of spring of spring constant k is attached to the centre of a disc of mass m and radius R and the other end of the spring connected to a rigid wall. A string is wrapped on the disc and the end A of the string (as shown in the figure) is pulled through a distance a and then released. The disc is placed on a horizontal rough surface and there is no slipping at any contact point. What is the amplitude of the oscillation of the centre of the disc?

One end of spring of spring constant k is attached to the centre of a

1.	One end of spring of spring constant k is attached to the centre of a disc of mass m and radius R and the other end of the spring connected to a rigid wall. A string is wrapped on the disc and the end A of the string (as shown in the figure) is pulled through a distance a and then released. The disc is placed on a horizontal rough surface and there is no slipping at any contact point. What is the amplitude of the oscillation of the centre of the disc?
Answer» a 2a a/2 none of these Solution :Displacement of the TOPMOST point of the disc = a Disc undergoes rolling WITHOUT SLIPPING. Hence the displacement of the CENTRE of the disc = a/2 Thus amplitude of the OSCILLATION of the centre of the disc = a/2 Hence (C ) is correct

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